We shall be interested in the case when the manifold \(M\)  is simple hyperkähler
(that is, IHS).
In [1]}, we have shown that Morrison-Kawamata cone conjecture
holds
whenever the Beauville-Bogomolov square of primitive MBM classes is
bounded.
This is known to be the case for deformations of punctual Hilbert schemes
of K3 surfaces and for deformations of generalized Kummer varieties.
A different proof in the similar spirit for these types of
hyperkähler
manifolds has been given by Markman and
Yoshioka in [2]}, under an extra assumption that the manifolds in
question are projective.
